凸分析（英文版） [Convex Analysis] 下載 mobi epub pdf 電子書 2025

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內容簡介

convexity has been increasingly important in recent years in the study of extremum problems in many areas of applied mathematics. the purpose of this book is to provide an exposition of the theory of convex sets and functions in which applications to extremum problems play the central role.
systems of inequalities， the minimum or maximum of a convex function over a convex set， lagrange multipliers， and minimax theorems are among the topics treated， as well as basic results about the structure of convex sets and the continuity and differentiability of convex functions and saddle-functions. duality is emphasized throughout， particularly in the form of fenchers conjugacy correspondence for convex functions.

內頁插圖

目錄

Preface .
Introductory Remarks： a Guide for the Reader
PART l： BASIC CONCEPTS
1. Affine Sets
2. Convex Sets and Cones
3. The Algebra of Convex Sets
4. Convex Functions
5. Functional Operations

PART II： TOPOLOGICAL PROPERTIES
6. Relative Interiors of Convex Sels
7. Closures of Convex Functions
8. Recession Cones and Unboundedness
9. Some CIosedness Criteria
10. Continuity of Convex Functions

PART Ⅲ： DUALITY CORRESPONDENCES
11. Separation Theorems
12. Conjugates of Convex Functions
13. Support Furctions
14. Polars of Convex Sets
15. Polars of Convex Functions
16.Dual Operations

PART IV： REPRESENTATION AND INEQUALITIES
17. Carath6odorys Theorem
18. Extreme Points and Faces of Convex Sets
19. Polyhedral Convex Sets and Functions
20. Some Applications of Polyhedral Convexity
21.Hellys Theorem and Systems of Inequalities
22. Linear Inequalities
CONTENTS

PART V： DIFFERENTIAL THEORY
23. Directional Derivatives and Subgradients
24. Differential Continuity and Monotonicity
25. Differentiability of Convex Functions
26. The Legendre Transformation

PART VI： CONSTRAINED EXTREMUM PROBLEMS
27. The Minimum of a Convex Function
28. Ordinary Convex Programs and Lagrange Multipliers
29. Bifunctions and Generalized Convex Programs
30. Adjoint Bifunctions and Dual Programs
31. Fenchels Duality Theorem
32. The Maximum of a Convex Function

PART VII： SADDLE-FUNCTIONS AND MINIMAX THEORY
33. Saddle-Functions
34. Closures and Equivalence Classes
35. Continuity and Differentiability of Saddle-functions
36. Minimax Problems
37. Conjugate Saddle-functions and Minimax Theorems
PART VIII： CONVEX ALGEBRA
38. The Algebra of Bifunctions
39. Convex Processes .
Comments and References
Bibliography
Index

前言/序言

凸分析（英文版） [Convex Analysis] 下載 mobi epub pdf txt 電子書 格式

評分☆☆☆☆☆

正在學習ing

評分☆☆☆☆☆

這是凸分析最古老也是最經典的教材，但對於剛剛接初優化的不太適閤，要想啃下來，不過個五，六次估計是不行的，比較適閤專業人員攻讀。

評分☆☆☆☆☆

還沒開始看，但是慕名很久

評分☆☆☆☆☆

賣傢態度很好，書也很好，好評！

評分☆☆☆☆☆

管理學科的必讀書，考上博士用

評分☆☆☆☆☆

英文原版，比翻譯過來的中文版要好的多，雖然看起來有難度，但是有助於研究！

評分☆☆☆☆☆

凸分析，沒啥好評價的，買來學習。

評分☆☆☆☆☆

東西不錯 就是有點點貴，送貨很快

評分☆☆☆☆☆

最近京東搞活動買的，比其它網站便宜一點，有些書在我所在的這個地區就沒貨 所以發貨就晚瞭。但是書真的不錯 隻要發貨就很快就到，應該是正品，快遞很快哦 繼續努力，書直接給我送到樓下，這樣的服務態度真的值得其他的快遞員學習，東京快遞真的不錯。上周周六，閑來無事，上午上瞭一個上午網，想起好久沒買書瞭，一段時間不逛書店就周身不爽，於是上京東挑選瞭一大批書。

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